Is 7949 a prime number? What are the divisors of 7949?

## Is 7949 a prime number?

Yes, 7949 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 7949, the only two divisors are 1 and 7949. Therefore 7949 is a prime number.

As a consequence, 7949 is only a multiple of 1 and 7949.

Since 7949 is a prime number, 7949 is also a deficient number, that is to say 7949 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 7949 without 7949 itself (that is 1, by definition!).

## Parity of 7949

7949 is an odd number, because it is not evenly divisible by 2.

## Is 7949 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 7949 is about 89.157.

Thus, the square root of 7949 is not an integer, and therefore 7949 is not a square number.

Anyway, 7949 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 7949?

The square of a number (here 7949) is the result of the product of this number (7949) by itself (i.e., 7949 × 7949); the square of 7949 is sometimes called "raising 7949 to the power 2", or "7949 squared".

The square of 7949 is 63 186 601 because 7949 × 7949 = 79492 = 63 186 601.

As a consequence, 7949 is the square root of 63 186 601.

## Number of digits of 7949

7949 is a number with 4 digits.

## What are the multiples of 7949?

The multiples of 7949 are all integers evenly divisible by 7949, that is all numbers such that the remainder of the division by 7949 is zero. There are infinitely many multiples of 7949. The smallest multiples of 7949 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 7949 too, since 0 × 7949 = 0
• 7949: indeed, 7949 is a multiple of itself, since 7949 is evenly divisible by 7949 (we have 7949 / 7949 = 1, so the remainder of this division is indeed zero)
• 15 898: indeed, 15 898 = 7949 × 2
• 23 847: indeed, 23 847 = 7949 × 3
• 31 796: indeed, 31 796 = 7949 × 4
• 39 745: indeed, 39 745 = 7949 × 5
• etc.

## Nearest numbers from 7949

Find out whether some integer is a prime number